Good textbooks on homological algebra

As suggested by the OP, I move my comment into an answer with minor extensions.

Well, here we go:

For (basic) monoidal categories theory and applications I recommend Kassel's "Quantum Groups" book. If you want to dive into homological algebra starting from algebraic topology, then pick up Gelfand Manin's textbook (I refer to "Methods of Homological Algebra").

[Weibel, An introduction to homological algebra] covers almost everything you mention, except monoidal categories.